Least Common Multiple of 789/37, 496/4401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 789/37, 496/4401 quickly i.e. 391344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/37, 496/4401 is 391344.

LCM(789/37, 496/4401) = 391344

LCM of 789/37, 496/4401

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 789/37,496/4401

Given numbers are 789/37,496/4401

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 789,496

Least Common Multiple of Numerators i.e. LCM of 789,496 is 391344.

GCF of Denominators means GCF of 37,4401 as per the given fractions.

GCF of 37,4401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,496

LCM of Fractions 789/37,496/4401 is 391344

Given numbers has no common factors except 1. So, there LCM is their product i.e 391344

Least Common Multiple of 789,496 with GCF Formula

Least Common Multiple of 789,496 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 789,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,496) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(789,496) x common factors =1 x 1 = 1

LCM(789,496) = ( 789 × 496 ) / 1

LCM(789,496) = 391344 / 1

LCM(789,496) = 391344


Lets's calculate GCF of 37,4401

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391344/1

Therefore the LCM of Fractions 789/37,496/4401 is 391344

Greatest Common Factor of 37,4401 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,4401 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 4401

List of positive integer factors of 4401 that divides 4401 without a remainder.

1,3,9,27,163,489,1467,4401

Greatest Common Factor

We found the factors 37,4401 . The biggest common factor number is the GCF number.
So the greatest common factor 37,4401 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 789/37, 496/4401

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 789/37, 496/4401?

Answer: LCM of Numerators as per given numbers 789/37, 496/4401 is

LCM of Numerators i.e. for 789,496 is 391344

GCF of denominators i.e. for 37,4401 is 1.

Thus, LCM of Fractions is 391344.Finally, LCM of Fractions for 789/37, 496/4401 is 391344.